A280295 Smallest number with precipice n. Descending by the main diagonal of the pyramid described in A245092, the height difference between the level a(n) (starting from the top) and the level of the next terrace is equal to n.

1, 2, 9, 20, 72, 144

Offset: 1

Author

Omar E. Pol, Dec 31 2016

Keywords

• nonn
• more

Comments

The structure of the stepped pyramid arises after the 90-degree-zig-zag folding of the diagram of the isosceles triangle A237593.

The terraces at the k-th level of the pyramid are also the parts of the symmetric representation of sigma(k), k >= 1.

The stepped pyramid is also one of the 3D-quadrants of the stepped pyramid described in A244050.

For more information about the precipices see A277437 and A280223.

Is this sequence infinite?

Examples

			a(3) = 9 because descending by the main diagonal of the pyramid, the height difference between the level 9 and the level of the next terrace is equal to 3, and 9 is the smallest number with this property.
		

Links

• Omar E. Pol, Perspective view of the pyramid (first 16 steps)

Crossrefs

Row 1 of A277437.

Cf. A000203, A196020, A235791, A236104, A237591, A237593, A240542, A244050, A245092, A259179, A262626, A276112, A277437, A279286, A279385, A280223.

Extensions

a(6) from Omar E. Pol, Jan 02 2017